scholarly journals An Improved Scheme Using the Shooting Method to Solve Degenerate Four-wave Mixing Equations

1989 ◽  
Vol 42 (2) ◽  
pp. 197
Author(s):  
YH Ja
Keyword(s):  
Numerical Method ◽  
Wave Equations ◽  
Shooting Method ◽  
Four Wave Mixing ◽  
Wave Mixing ◽  
Simple Scheme ◽  
Coupled Wave Equations ◽  
Degenerate Four Wave Mixing ◽  
Coupled Wave

A modified scheme using the shooting method to solve the nonlinear coupled�wave equations for degenerate four-wave mixing is proposed. This simple scheme significantly improves the efficiency of this numerical method and the accuracy of computed results.

scholarly journals Четырехволновое взаимодействие на фазово-амплитудных голографических решетках в фоторефрактивном пьезокристалле класса симметрии 43m

2022 ◽  
Vol 130 (3) ◽  
pp. 387
Author(s):  
В.Н. Навныко
Keyword(s):  
Experimental Data ◽  
Wave Equations ◽  
Orientation Angle ◽  
Four Wave Mixing ◽  
Wave Mixing ◽  
Gaas Crystal ◽  
Holographic Gratings ◽  
Coupled Wave Equations ◽  
Phase Amplitude ◽  
Coupled Wave

A system of coupled-wave equations for calculating the vector amplitudes of linearly polarized light waves at four-wave mixing by phase-amplitude holographic gratings in a cubic photorefractive semiconductor of an arbitrary cut belonging to the 4 ̅3m symmetry class is presented. The dependences of the intensities of the polarization components of the reversed light wave on the orientation angle for GaAs crystal of (110)-cut are calculated on the basis of the numerical solution of the system of coupled-wave equations. The obtained dependences are compared with the known theoretical and experimental data. It is shown that the best agreement between the results of theoretical modeling and experimental data at calculating the counterpropagating four-wave mixing in GaAs crystal of (110)-cut is achieved if formation of several phase-amplitude holographic gratings is allowed, and the contribution of the photoelastic and inverse piezoelectric effects are taken into account together with absorption of the crystal.

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